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Finding the Fourth Proportional to 36,713.14, 55,071.81 and 10,415.81

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Solution

The fourth proportional to 36,713.14, 55,071.81 and 10,415.81 is: 15,624.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,713.14 : 55,071.81 = 10,415.81 : x
  2. Step 2: Convert to fraction form
    36,713.14/55,071.81 = 10,415.81/x
  3. Step 3: Cross multiply
    36,713.14x = 55,071.81 × 10,415.81
  4. Step 4: Simplify right side
    36,713.14x = 573,617,647.00
  5. Step 5: Solve for x
    x = 573,617,647.00/36,713.14
  6. Step 6: Final answer
    x = 15,624.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.